x^2-1.4x+0.44=0

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Solution for x^2-1.4x+0.44=0 equation: 


Simplifying
x2 + -1.4x + 0.44 = 0

Reorder the terms:
0.44 + -1.4x + x2 = 0

Solving
0.44 + -1.4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.44' to each side of the equation.
0.44 + -1.4x + -0.44 + x2 = 0 + -0.44

Reorder the terms:
0.44 + -0.44 + -1.4x + x2 = 0 + -0.44

Combine like terms: 0.44 + -0.44 = 0.00
0.00 + -1.4x + x2 = 0 + -0.44
-1.4x + x2 = 0 + -0.44

Combine like terms: 0 + -0.44 = -0.44
-1.4x + x2 = -0.44

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -0.44 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -0.44 + 0.49

Combine like terms: -0.44 + 0.49 = 0.05
0.49 + -1.4x + x2 = 0.05

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = 0.05

Calculate the square root of the right side: 0.223606798

Break this problem into two subproblems by setting 
(x + -0.7) equal to 0.223606798 and -0.223606798.


Subproblem 1
x + -0.7 = 0.223606798

Simplifying
x + -0.7 = 0.223606798

Reorder the terms:
-0.7 + x = 0.223606798

Solving
-0.7 + x = 0.223606798

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = 0.223606798 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = 0.223606798 + 0.7
x = 0.223606798 + 0.7

Combine like terms: 0.223606798 + 0.7 = 0.923606798
x = 0.923606798

Simplifying
x = 0.923606798


Subproblem 2
x + -0.7 = -0.223606798

Simplifying
x + -0.7 = -0.223606798

Reorder the terms:
-0.7 + x = -0.223606798

Solving
-0.7 + x = -0.223606798

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = -0.223606798 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = -0.223606798 + 0.7
x = -0.223606798 + 0.7

Combine like terms: -0.223606798 + 0.7 = 0.476393202
x = 0.476393202

Simplifying
x = 0.476393202


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.923606798, 0.476393202}

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